The MLPG in gradient theory for size-dependent magnetoelectroelasticity
Jan Sladek1
, Vladimir Sladek1, Slavomir Hrcek2
1Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia.
2Faculty of Mechanical Engineering, University of Zilina, 01026 Zilina, Slovakia.
DOI:
https://doi.org/10.7494/cmms.2017.1.0578
Abstract:
The strain gradient magnetoelectroelasticity is applied to solve two-dimensional boundary value problems. The electric and magnetic field-strain gradient coupling is considered in constitutive equations. The meshless local Petrov-Galerkin (MLPG) is developed to solve general problems. All field quantities are approximated by the moving least-squares (MLS) scheme. Effective material properties for a piezomagnetic matrix with regularly distributed piezoelectric fibres of a circular cross section and coating layer are presented.
Cite as:
Sladek, J., Sladek, V., Hrcek, S. (2017). The MLPG in gradient theory for size-dependent magnetoelectroelasticity. Computer Methods in Materials Science, 17(1), 76 – 82. https://doi.org/10.7494/cmms.2017.1.0578
Article (PDF):
Keywords:
Meshless approximation, Local integral equations, MLS approximation, Effective material properties
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